Finding the Third Proportional to 331,980 and 502,978.50

Step by Step Solution

1. Step 1: Write the proportion equation
   331,980 : 502,978.50 = 502,978.50 : x
2. Step 2: Convert to fraction form
   331,980/502,978.50 = 502,978.50/x
3. Step 3: Cross multiply
   331,980x = 502,978.50 × 502,978.50
4. Step 4: Simplify right side
   331,980x = 252,987,371,462.25
5. Step 5: Solve for x
   x = 252,987,371,462.25/331,980
6. Step 6: Final answer
   x = 762,056.06